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Article . 2024 . Peer-reviewed
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A Series Approximation for the Analytic Fourier–Feynman Transform on Wiener Space

descriptionPublicationkeyboard_double_arrow_right Article 03 Apr 2024 English Publisher:MDPI AGJournal:Axioms, volume 13, page 237 (eissn: 2075-1680, Copyright policy )
Authors: Hyun Soo Chung;

doi: 10.3390/axioms13040237

A Series Approximation for the Analytic Fourier–Feynman Transform on Wiener Space

Abstract

In this paper, we first establish an evaluation formula to calculate Wiener integrals of functionals on Wiener space. We then apply our evaluation formula to carry out easy an calculation for the analytic Fourier–Feynman transform of the functionals. Some examples are furnished to illustrate the usefulness of the evaluation formula. Finally, using the evaluation formula, we establish the series approximation for the analytic Fourier–Feynman transform.

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Keywords

series approximation, analytic Fourier–Feynman transform, evaluation formula, QA1-939, unbounded functionals, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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